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By Steve Davis | July 8th 2009 03:21 AM | 6 comments | Print | E-mail | Track Comments
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About Steve Davis

gadfly: noun (1) fly that stings horses and cattle. (2) (derog) annoying person, esp one that provokes others into action by criticism, etc.... Full Bio


In 1981 Robert Axelrod and Bill Hamilton published a paper titled The Evolution of Cooperation in which they analyzed game theory as a means of explaining the emergence of cooperative behaviour. In 1984 Axelrod published a book titled The Evolution of Cooperation in which he again examined game theory as an explanation for the emergence of cooperative behaviour. In 1988 Axelrod and Dion published a paper titled The Further Evolution of Cooperation in which they yet again discussed game theory as an explanation for the emergence of cooperative behaviour, and in 2000 Axelrod presented a symposium paper titled Six Advances in Cooperation Theory in which he outlined what he saw as the continuing contribution of game theory to our understanding of cooperative behaviour.
If this intro has you almost brain-dead, just think how Axelrod feels after paddling in the stagnant pond of game theory for twenty years.


Why is game theory-cooperation theory stagnant? Because it’s been tampered with for too long, left in the sun so long it’s on the nose. Researchers employing this approach are being held back, incapable of moving beyond theory and computer games. The answers to the important cooperation questions will not be found in game theory. It should hold the same position in cooperation theory that genes should hold in evolution theory; useful only as background information.


Let’s have a quick look at what twenty years of effort has produced.
Robert Axelrod’s conclusion to his 2000 paper was; The six papers in this symposium clearly demonstrate that Cooperation Theory continues to be a fruitful paradigm for the conduct of research on an ever-growing set of important theoretical questions. The symposium shows how using and extending the original paradigm of the two-person iterated Prisoner’s Dilemma provides rich possibilities for studying the effects a wide range of factors such as the timing of moves, hostage taking, social networks, adaptive play, envy, noise and mobility. In light of the extensive existing literature on related models dealing many of these factors, the time is now ripe for the comparison of results of closely related models on each factor, as well as for the continuing addition of new themes.


Not very impressive, is it? Mind you, the milking is impressive. They’re determined to get every last drop out of the “rich possibilities” found in this particular “fruitful paradigm”.
 
But surely in twenty years they must have discovered something more concrete than that outlined by Axelrod?


They have. They found that cooperation pays. Hold that thought for a moment


We participate in cooperation and receive its benefits every day of our lives, 24 hours of the day, from the moment of our conception until the moment we die. Our world is awash with cooperation, it’s the linch-pin of our existence. DS Wilson made the very good point that the reason selfish gene theory became an unstoppable bandwagon in the 1970s and 80s was that individualism was the cultural water we swam in at that time, and just as fish give little thought to the water in which they live, so the world at large gave no thought to the link between selfish gene theory and the cultural trends of the day. His analogy is even more apt in the case of cooperation. Just as fish give no thought to the medium that supports them, so we are blind to the medium that supports us. How else can we explain the staggering fact that twenty years of research found that cooperation pays? How could they have been so blind that they knew less about cooperation than an eighteen year old first-time mother? Does that sound like a bit of a stretch? Consider this from Axelrod’s Six Advances paper; “…these results have inspired a good deal of empirical work demonstrating that cooperation based upon reciprocity does indeed exist between individuals, between nations, and even among animals.” (I first made the point about young mothers knowing more about cooperation than selfish gene theorists in Twelve Misunderstandings of Evolution, but it was not well received in some quarters despite its obvious validity as shown by Axelrod’s “wow” statement of discovery. He could have saved himself twenty years of research by reading Aesop’s Fables, a treasure trove of information on the various forms of cooperation and selfishness, their origins and relative merits. Even a book on parenting would have done.)


The reason for this blindness, and for the stagnation that results, is that the enquiry into the origin and nature of cooperation based on game theory is being carried out within the constricting framework of selfish gene theory. Some of the false assumptions to be found in the publications listed above include the following, all of which form part of selfish gene dogma;
That the world is asocial, that cooperation is a problem for evolutionary theory, that Darwin’s theory was individualistic, that altruism is linked to relatedness, that while benefits accrue from cooperation, greater benefits can accrue from exploiting cooperation, that humans are egoists, that the evolution of cooperation requires that individuals have a reasonable expectation of meeting again so that they have a stake in their future interaction. With shoddy fundamentals such as these to work with, it’s no wonder the game theory approach to cooperation theory has become all noise, signifying nothing.


It’s worth having a look at the conclusion to the seminal paper in the series, Axelrod and Hamilton’s The Evolution of Cooperation. It was as concise as a conclusion can be.


Darwin's emphasis on individual advantage has been formalized in terms of game theory. This establishes conditions under which cooperation based on reciprocity can evolve.


This is not science.


There’s two statements here, both need correcting.


First, “Darwin’s emphasis on individual advantage” is misleading and wrong. When it came to evolution as a whole he gave emphasis also to the role of social influences, so to characterize his work as being based on the individual is unacceptable.

Second, to characterize the evolution of cooperation as being based on individual advantage is simplistic, again to the point of being misleading and wrong. Self-interest does play a role in cooperation, but one of the tactics employed by selfish gene advocates has been to blur the clear difference between self-interest and selfishness. The term “individual advantage” is all about individualism, and the primary purpose of this paper was to give “scientific” credibility to a social movement based on the alleged virtues of individualism, by pushing the totally false proposition that individualism is the dominant theme of evolution. 
A secondary purpose was to buttress selfish gene theory itself by falsely explaining away cooperation as a subtle manifestation of selfish motives. It was truly remarkable that in some minds this was successful.



Comments

Gerhard Adam's picture




Natural selection will modify the structure of the young in relation to the parent, and of the parent in relation to the young. In social animals it will adapt the structure of each individual for the benefit of the whole community; if the community profits by the selected change. (Charles Darwin, The Origin of Species, p. 99)


Good article, Steve.  This is going to be an ongoing discussion for some time, I suspect.  (Sorry for my lengthy comments, though).



There is little doubt that inherited traits and behavior originate with the individual.  However, it is also clear that an individual can only act its own interest. 


As you know, I've been arguing for the use of a third term (i.e. self-interest) to describe the uncommitted state of an organism.  Selfishness and altruism describe the results of an encounter, but they cannot describe the behavior of an organism by itself.


For example, if I eat because I'm hungry, I'm not behaving selfishly simply because you may be hungry too.  There is no requirement to share in natural selection.  Selfishness can only occur when there is an expectation (or possibility) of cooperation and an individual is perceived to "cheat" based on the "rules".


As I've stated elsewhere, there is certainly a state of indifference that exists between many animals, however it is an absurdity to declare that a fox taking a rabbit is behaving selfishly.  The fox is acting in a self-interested fashion because there is no expectation of cooperation in this encounter.  There is nothing that requires animals to band together for mutual protection to be considered cooperative.  In fact, biology must consider the possibility that the animals may not participate in an encounter at all, which negates any results from game theory, since the game is not being played.  Once again, we must be careful to not assign our own valued assessment to such decisions. 


Often the comparison is made between selfishness and cooperation, but in reality, as game theory demonstrates, the initial action to promote cooperation is an altruistic one.  The player must be prepared to pay the cost of the first move in order for cooperation to emerge.  As a result, the only two states that represent outcomes is selfishness or altruism.  Altruism ultimately gives rise to cooperation, and therefore is a "base" against which the social group operates which can give rise to higher and higher degrees of commitment to each other and the group.  Selfishness is self-limiting since social members are not compelled to interact with these individuals, they will tend to find themselves isolated unless they take on a more cooperative spirit.


This also illustrates that the traits of "selfishness" and "altruism" can be adjusted based on the animals behavior and isn't "hard-wired" by the genes.  While I would be more inclined to consider the "hard-wiring" in species like the eusocial insects, it would be a difficult argument to advance for the "higher" social animals.



adaptivecomplexity's picture
There are no specifics here - this isn't about science. Instead of writing this:


We participate in cooperation and receive its benefits every day of our lives, 24 hours of the day, from the moment of our conception until the moment we die. Our world is awash with cooperation, it’s the linch-pin of our existence. DS Wilson made the very good point that the reason selfish gene theory became an unstoppable bandwagon in the 1970s and 80s was that individualism was the cultural water we swam in at that time, and just as fish give little thought to the water in which they live, so the world at large gave no thought to the link between selfish gene theory and the cultural trends of the day.

you should be telling us about details - specific predictions made by say, Axelrod, and how they have or have not been confirmed by field or lab studies. Without specifics, all we have are a series of assertions.

And this isn't true:

First, “Darwin’s emphasis on individual advantage” is misleading and wrong. When it came to evolution as a whole he gave emphasis also to the role of social influences, so to characterize his work as being based on the individual is unacceptable.

Individual advantage is what natural selection was all about in the Origin Within a given species, individuals were competing. Better survival of individuals with heritable traits that were better adapted to their environment is what the book is about.

The science has moved on since then, but Darwin's primary emphasis was on individual advantage. If you disagree, then let's here some examples from Darwin's books where he put primary emphasis on social influences.

Steve Davis's picture
Michael, Michael, what's going on here? I wrote the article at your suggestion but you're still not happy! You're a hard man to please.

You say "you should be telling us about details" of Axelrod's work on game theory. There's no need. I have no doubt that every aspect of game theory that he describes is accurate. It's the interpretation that concerns me. The interpretation was found in the conclusion to the paper, which is why I focused on it, and the interpretation was wrong. Data was once used to conclude that the earth is the centre of the solar system, but there was no problem with the data, it was the reasoning applied to the data that was faulty, just as it's faulty in this case.

You say that Darwin's primary emphasis was on individual advantage. Sorry, but you need to read more than The Origin of Species to get a grasp of Darwin's views. In The Descent, chapters 4 and 5 from memory, he was quite clear that the social instincts are the more persistent, and superior to the individual instincts. He could not have been more clear on the point. I suggested elsewhere that one of the problems with selfish gene theory is that a whole generation of biologists has grown up thinking that the theory is the only game in town. Your position on this just confirms that view. It's as though The Descent was never written.

Steve, I like your point of view.  But I'm inclined to agree with Michael's criticism regarding specifics.  I wonder about the possibility of formulating a set of assumptions, alternative to those of game theory, somehow formalizing the notion that cooperation seems more like the rule rather than the exception.  Ideally, from these assumptions, we could construct mathematical models, make predictions, and compare with observations.


Gerhard Adam's picture
I think we have to be careful about formulating "rules".  The first consideration is whether the animal is social and the degree of dependence it has on the social group for survival.  Another consideration is the degree of freedom in its social interaction (eusocial insects versus herds of buffalo).

From this we can then determine what the vested interest is of any particular animal regarding the relative benefit and cost of cooperating versus indifference versus hostility (or aggression).  The latter being the most expensive course of action so is the least likely to occur as a general rule.

This is where game theory makes the most sense in predicting that social animals will tend to cooperate by altruism and isolate those animals that are "selfish".  This results in cooperation becoming an evolutionary stable strategy that can avoid being penetrated by a group of selfish individuals.

Once we have such a general degree of classification, it becomes easier to see which "models" may be applicable versus those that aren't going to produce results.  In general, the caution is in ensuring one doesn't try to create a "one size fits all" in dealing with something as diverse as animal interactions.

Steve Davis's picture

J.R., thanks for your thoughts.
While I like the idea of "formalising the notion" I'm not too sure how that would be best done. And I have a cautious view of mathematical modelling, after seeing the mess that Hamilton made of it in his Geometry for the Selfish Herd.


I don't think we need to make predictions about the likelihood of cooperative behaviours, all we have to do is observe daily life, for the reasons given in the article.


But if you can come up with a formal approach I'd be delighted to hear it! Thanks again.



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